-42=2(m+6)-2(-6m+6)

Solution for -42=2(m+6)-2(-6m+6) equation:

Simplifying
-42 = 2(m + 6) + -2(-6m + 6)

Reorder the terms:
-42 = 2(6 + m) + -2(-6m + 6)
-42 = (6 * 2 + m * 2) + -2(-6m + 6)
-42 = (12 + 2m) + -2(-6m + 6)

Reorder the terms:
-42 = 12 + 2m + -2(6 + -6m)
-42 = 12 + 2m + (6 * -2 + -6m * -2)
-42 = 12 + 2m + (-12 + 12m)

Reorder the terms:
-42 = 12 + -12 + 2m + 12m

Combine like terms: 12 + -12 = 0
-42 = 0 + 2m + 12m
-42 = 2m + 12m

Combine like terms: 2m + 12m = 14m
-42 = 14m

Solving
-42 = 14m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-14m' to each side of the equation.
-42 + -14m = 14m + -14m

Combine like terms: 14m + -14m = 0
-42 + -14m = 0

Add '42' to each side of the equation.
-42 + 42 + -14m = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -14m = 0 + 42
-14m = 0 + 42

Combine like terms: 0 + 42 = 42
-14m = 42

Divide each side by '-14'.
m = -3

Simplifying
m = -3